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Finding the Fourth Proportional to 926.19, 1,278.23 and 553.11

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Solution

The fourth proportional to 926.19, 1,278.23 and 553.11 is: 763.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.19 : 1,278.23 = 553.11 : x
  2. Step 2: Convert to fraction form
    926.19/1,278.23 = 553.11/x
  3. Step 3: Cross multiply
    926.19x = 1,278.23 × 553.11
  4. Step 4: Simplify right side
    926.19x = 706,999.03
  5. Step 5: Solve for x
    x = 706,999.03/926.19
  6. Step 6: Final answer
    x = 763.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.